Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/610, 352/93, 357/317 quickly i.e. 125664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/610, 352/93, 357/317 is 125664.
LCM(44/610, 352/93, 357/317) = 125664
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/610,352/93,357/317
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 44,352,357
Least Common Multiple of Numerators i.e. LCM of 44,352,357 is 125664.
GCF of Denominators means GCF of 610,93,317 as per the given fractions.
GCF of 610,93,317 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,352,357
2 | 44, 352, 357 |
2 | 22, 176, 357 |
11 | 11, 88, 357 |
1, 8, 357 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 1 x 8 x 357 = 125664
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 44,352,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,352,357) = 1
common factors(in case of two or more numbers have common factors) = 44
GCF(44,352,357) x common factors =1 x 44 = 44
LCM(44,352,357) = ( 44 × 352 × 357 ) / 44
LCM(44,352,357) = 5529216 / 44
LCM(44,352,357) = 125664
Lets's calculate GCF of 610,93,317
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125664/1
Therefore the LCM of Fractions 44/610,352/93,357/317 is 125664
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Greatest Common Factor
We found the factors 610,93,317 . The biggest common factor number is the GCF number.
So the greatest common factor 610,93,317 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 44/610, 352/93, 357/317?
Answer: LCM of Numerators as per given numbers 44/610, 352/93, 357/317 is
LCM of Numerators i.e. for 44,352,357 is 125664
GCF of denominators i.e. for 610,93,317 is 1.
Thus, LCM of Fractions is 125664.Finally, LCM of Fractions for 44/610, 352/93, 357/317 is 125664.